Cremona's table of elliptic curves

15246 = 2 · 3² · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	15246i	Isogeny class
Conductor	15246	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-28350304855488 = -1 · 26 · 36 · 73 · 116	Discriminant
Eigenvalues	2+ 3-  0 7+ 11-  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4878,-221292]	[a1,a2,a3,a4,a6]
Generators	[388:7550:1]	Generators of the group modulo torsion
j	9938375/21952	j-invariant
L	3.6185139800371	L(r)(E,1)/r!
Ω	0.3449073633588	Real period
R	2.6228158372722	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121968fl3 1694f3 106722cv3 126a3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 15246i3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	+	-	4	6	-2	0	-6	-4	2	6	-8	12	-6	6	-8	-4	0	-2	-8	-6	6	-10

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Quadratic twists for elliptic curve 15246i3

-4	-3	-7	-11
121968fl3	1694f3	106722cv3	126a3

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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